how to derivate an equation of x and y without taking any variable constant?

y-x*y-sin(y)==0

i tried many times but i cant get the required ans. d/dx on given equation without taking x or y constant.

Answer 1

[John D'Errico]

Specify that y is a function of x. You o so like this:

syms y(x)

Now you can differentiate that expression with respect to x. See the help for diff.

[Ahmed Mujtaba]

tried that but didnt work the ans should be

y/1-x-cos(y)

you can try if you get this ans please let me know

Answer 2

[Torsten]

You mean assuming y = y(x) ?

syms y(x)
f = y-x*y-sin(y) == 0;
df = diff(f,x)

df(x) = 

[Ahmed Mujtaba]

tried that but didnt work the ans should be

y/1-x-cos(y)

you can try if you get this ans please let me know

Answer 3

[Sam Chak]

Hi @Ahmed Mujtaba

It can be confusing because the math structure of y/1 - x - cos(y) is legitimately interpreted as .

Guess you probably want something like this.

syms y(x)
F  = y - x*y - sin(y) == 0;
dF = diff(F, x)

dF(x) = 

DE = isolate(dF, diff(y, x))

DE =